Review of the concept of Stress

Review of the Elastic Solid

Concept of Isotropy and Homogeniety

Basic definitions of Young's modulus, Poisson's ratio, Bulk and Shear modulus

Obtaining the elastic constants from basic experiments (tensile, shear, volumetric tests)

Generic form of constitutive law for elastic solids

Number of constants for the most general case, monoclinic, orthotropic, planar isotropic and isotropic solids
Methods to reduce them from most generic forms.

Linear elastic isotropic elastic constitutive equation (Hooke's law)

Deriving indicial forms of stress-strain and then strain-stress relations in 3-D

Relations between various elastic constants. Given the displacement field to determine the stress field using a given set of elastic constants

Equations of equilibrium with and without body forces, verification

Concept of plane stress and plane strain and equations relating them.

Problems 5.6 to 5.16 and 5.38 to 5.54 in the book and notes on plane elasticity

How to proceed to apply boundary conditions, assume a stress fields and verify that all the b.c's on all the surfaces are satisfied

Application of simple problems to tension, torsion and bending